Comput Math Methods Med - Analytical solutions for the mathematical model describing the formation of liver zones via Adomian's method.

Tópicos

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Resumo

The formation of liver zones is modeled by a system of two integropartial differential equations. In this research, we introduce the mathematical formulation of these integro-partial differential equations obtained by Bass et al. in 1987. For better understanding of this mathematical formulation, we present a medical introduction for the liver in order to make the formulation as clear as possible. In applied mathematics, the Adomian decomposition method is an effective procedure to obtain analytic and approximate solutions for different types of operator equations. This Adomian decomposition method is used in this work to solve the proposed model analytically. The stationary solutions (as time tends to infinity) are also obtained through it, which are in full agreement with those obtained by Bass et al. in 1987.

Resumo Limpo

format liver zone model system two integroparti differenti equat research introduc mathemat formul integroparti differenti equat obtain bass et al better understand mathemat formul present medic introduct liver order make formul clear possibl appli mathemat adomian decomposit method effect procedur obtain analyt approxim solut differ type oper equat adomian decomposit method use work solv propos model analyt stationari solut time tend infin also obtain full agreement obtain bass et al

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